Atkin-Lehner |
2- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
112112y |
Isogeny class |
Conductor |
112112 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
171360 |
Modular degree for the optimal curve |
Δ |
-13189864688 = -1 · 24 · 78 · 11 · 13 |
Discriminant |
Eigenvalues |
2- -3 -2 7+ 11- 13- 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2401,45619] |
[a1,a2,a3,a4,a6] |
j |
-16595712/143 |
j-invariant |
L |
1.2659067875015 |
L(r)(E,1)/r! |
Ω |
1.2659066508604 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28028a1 112112bq1 |
Quadratic twists by: -4 -7 |